Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286bn |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
363776 |
Modular degree for the optimal curve |
Δ |
-1.3453764909192E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,511477,-106521957] |
[a1,a2,a3,a4,a6] |
Generators |
[1899:86858:1] |
Generators of the group modulo torsion |
j |
13581780628779/12348030976 |
j-invariant |
L |
7.4025168405084 |
L(r)(E,1)/r! |
Ω |
0.12262893378195 |
Real period |
R |
0.52038942508203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286k1 20286bl1 |
Quadratic twists by: -3 -7 |